First Order Partial Differential Equations
Linear first order partial differential differential equation is of the form equation. a(x,y)ux +b(x,y)uy +c(x,y)u = f(x,y).(1.5) Note that all of the coefficients are independent of u and its derivatives and each term in linear in u, ux, or uy. We can relax the conditions on the coefficients a bit. Namely, we could as-sume that the equation ...
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